P. Neff

activity

20112023

most citedExistence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

46 citations · 148 across the 26 of their papers we have counts for

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Showing 2020Show all

11 papers · 1 filter

math.CA2020★ 32 cited

Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Gianluca Rizzi, Geralf Hütter, Angela Madeo +1

We consider the cylindrical bending problem for an infinite plate as modelled with a family of generalized continuum models, including the micromorphic approach. The models allow t…

math.AP2020

Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

Peter Lewintan, Stefan Müller, Patrizio Neff

Let $Ω \subset R^{3}$ be an open and bounded set with Lipschitz boundary and outward unit normal $ν$ . For $1 < p < \infty$ we establish an improved version of the generalized $L^…

math.AP2020

A constrained Cosserat shell model up to order $O (h^{5})$ : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1

We consider a recently introduced geometrically nonlinear elastic Cosserat shell model incorporating effects up to order $O (h^{5})$ in the shell thickness $h$ . We develop the corresp…

math.AP2020

A rank-one convex, non-polyconvex isotropic function on $GL^{+} (2)$ with compact connected sublevel sets

Jendrik Voss, Ionel-Dumitrel Ghiba, Robert J. Martin +1

According to a 2002 theorem by Cardaliaguet and Tahraoui, an isotropic, compact and connected subset of the group $GL^{+} (2)$ of invertible $2 \times 2 -$ matrices is ra…

math.NA2020

A hybrid H1xH(curl) finite element formulation for a relaxed micromorphic continuum model of antiplane shear

Adam Sky, Michael Neunteufel, Ingo Münch +2

One approach for the simulation of metamaterials is to extend an associated continuum theory concerning its kinematic equations, and the relaxed micromorphic continuum represents s…

math.AP2020★ 2 cited

Rank-one convexity vs. ellipticity for isotropic functions

Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba +1

It is well known that a twice-differentiable real-valued function $W : GL^{+} (n) \to R$ on the group $GL^{+} (n)$ of invertible $n \times n -$ ma…

Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

A constrained Cosserat shell model up to order O(h5): Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

A rank-one convex, non-polyconvex isotropic function on GL+(2) with compact connected sublevel sets

A hybrid H1xH(curl) finite element formulation for a relaxed micromorphic continuum model of antiplane shear

Rank-one convexity vs. ellipticity for isotropic functions

A constrained Cosserat shell model up to order $O (h^{5})$ : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

A rank-one convex, non-polyconvex isotropic function on $GL^{+} (2)$ with compact connected sublevel sets